Quantum ergodicity for graphs related to interval maps

DOI10.1007/s00220-007-0244-0zbMath1122.81037arXivmath-ph/0607008OpenAlexW3102910482MaRDI QIDQ2385034

Gregory Berkolaiko, Jonathan P. Keating, Uzy Smilansky

Publication date: 11 October 2007

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0607008

Mathematics Subject Classification ID

Quantum chaos (81Q50) Ergodicity, mixing, rates of mixing (37A25) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Dynamical systems involving maps of the interval (37E05) Dynamical systems involving maps of trees and graphs (37E25)

Related Items (12)

Quantum ergodicity on regular graphs ⋮ Quantum ergodicity for quantum graphs without back-scattering ⋮ Scattering resonances of large weakly open quantum graphs ⋮ Eigenfunction statistics on quantum graphs ⋮ Quantum ergodicity for large equilateral quantum graphs ⋮ Pointwise Weyl law for graphs from quantized interval maps ⋮ Entropic bounds on semiclassical measures for quantized one-dimensional maps ⋮ Relationship between scattering matrix and spectrum of quantum graphs ⋮ Quantum ergodicity for expanding quantum graphs in the regime of spectral delocalization ⋮ Pseudo-differential calculus on homogeneous trees ⋮ Quantum ergodicity on large regular graphs ⋮ Rényi and Tsallis entropies related to eigenfunctions of quantum graphs

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